Logic Masters Deutschland e.V.

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(Published on 18. June 2024, 21:55 by sujoyku)

I have been deeply impressed by the puzzle “The Ultimate Prime Cages” by Xenonetix. I asked myself if it was possible to set a similar puzzle using square numbers instead of primes. This has lead to this puzzle where all cages have to sum to distinct square numbers. I like to thank CaptZebraCakes for testing it. As always, your comments are highly appreciated. I wish you joyful solving!

- Normal sudoku rules apply, i.e. each row, column and 3x3 region has to contain the digits from 1 to 9 once each.

- Cages: Digits in a cage must sum to a square number. No two cages may sum to the same square number. (Digits in a cage may repeat.)

- Kropki: Digits joined by a black dot are in a 1:2 ratio. Digits joined by a white dot are consecutive. (Not all dots are given.)

Here you can solve the puzzle online:

Solve on f-puzzles

Solve on CtC

Solution code: Row 4 from left to right (9 digits in total)


Solved by CaptZebraCakes, SKORP17, OutOfMyMindBRB, Prince Myshkin, rameshsrivats, Kworb, halakani, mihel111, Felis_Timon, marcmees, Gilliatt, sorryimLate, zrbakhtiar, DanishDynamite, Crul, brimmy, Ryzen, abed hawila, sherrick, Montikulum, Chishiri, Askloomok, nighthawkranger, MattYDdraig
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Comments

Last changed on 3. September 2024, 09:18

on 3. September 2024, 01:24 by MattYDdraig
The break-in is beautiful and left me thinking I'd broken everything for a moment, but after that it was a lovely series of deductions moving around the cages.

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Thank you for your kind words, MattYDdraig! I am glad that you liked the puzzle and found the break-in to have an element of surprise.
Kind regards, sujoyku

Last changed on 21. June 2024, 10:54

on 21. June 2024, 02:52 by sorryimLate
The grid doesn't look easy at all, but after finding the break-in it was very smooth and lots of fun. I had to restart because of a stupid math error but then it was just 10 mins fill-in. Thanks!

**
You are much welcome, sorryimLate! As often is with these "unknown cage total" puzzles, it might appear a little intimidating at first glance but actually becomes more approachable once you get a little hold. I am glad that you enjoyed a smooth solve.
Kind regards, sujoyku

Last changed on 19. June 2024, 20:03

on 19. June 2024, 18:23 by marcmees
Less impressive than the "ultimate prime cages" but definitely worth solving. Was fun. Thanks.

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You are welcome, marcmees, thank you for commenting! I am glad you had a fun solve.
Kind regards, sujoyku

Last changed on 19. June 2024, 20:02

on 19. June 2024, 13:54 by mihel111
A very lovely one to solve with incredible flow, but more a 2* for me.

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Thank you for the comment, mihel111! I am glad that you liked the puzzle. Also thanks for sharing your take on the difficulty.
Kind regards, sujoyku

Last changed on 19. June 2024, 00:00

on 18. June 2024, 23:54 by Prince Myshkin
Fantastic puzzle, I don't think I've ever made more errors during a solve, but loved it nonetheless. I chose an apt username, today. Sorry sujoyku for my dumb comments and thanks for another great puzzle! <3

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Thank you for your comment, Prince Myshkin! I am glad that you enjoyed solving the puzzle. And don't be too hard on yourself, I think everybody who loves puzzles knows the feeling when you keep on breaking just to notice later that you missed out on a possible alternative somewhere.
Kind regards, sujoyku

Last changed on 18. June 2024, 23:08

on 18. June 2024, 22:58 by CaptZebraCakes
The break in was brilliant and beautiful, and everything flowed very smoothly after that. A fantastic puzzle sujoyku!

**
Thank you for your kind words, CaptZebraCakes! I am glad that you liked the break-in and enjoyed the flow of the puzzle.
Kind regards, sujoyku

Difficulty:3
Rating:95 %
Solved:24 times
Observed:5 times
ID:000IKS

Arithmetic puzzle

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Solution code:

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